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561542640 = 243517137633
BaseRepresentation
bin100001011110000…
…111010111110000
31110010122022200120
4201132013113300
52122223331030
6131415450240
716626014361
oct4136072760
91403568616
10561542640
11268a8132a
12138086980
138c452269
1454815b68
1534473010
hex217875f0

561542640 has 80 divisors (see below), whose sum is σ = 1843194528. Its totient is φ = 140935168.

The previous prime is 561542617. The next prime is 561542647. The reversal of 561542640 is 46245165.

561542640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561542647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64737 + ... + 72896.

Almost surely, 2561542640 is an apocalyptic number.

It is an amenable number.

561542640 is an abundant number, since it is smaller than the sum of its proper divisors (1281651888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

561542640 is a wasteful number, since it uses less digits than its factorization.

561542640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137666 (or 137660 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 561542640 is about 23696.8909353105. The cubic root of 561542640 is about 825.0132302745.

The spelling of 561542640 in words is "five hundred sixty-one million, five hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 137633 275266 412899 550532 688165 825798 1101064 1376330 1651596 2064495 2202128 2339761 2752660 3303192 4128990 4679522 5505320 6606384 7019283 8257980 9359044 11010640 11698805 14038566 16515960 18718088 23397610 28077132 33031920 35096415 37436176 46795220 56154264 70192830 93590440 112308528 140385660 187180880 280771320 561542640